What is the Greatest Common Factor of 91692 and 91700?

Greatest common factor (GCF) of 91692 and 91700 is 4.

GCF(91692,91700) = 4

We will now calculate the prime factors of 91692 and 91700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91692 and 91700.

How to find the GCF of 91692 and 91700?

We will first find the prime factorization of 91692 and 91700. After we will calculate the factors of 91692 and 91700 and find the biggest common factor number .

Step-1: Prime Factorization of 91692

Prime factors of 91692 are 2, 3, 283. Prime factorization of 91692 in exponential form is:

91692 = 2² × 3⁴ × 283¹

Step-2: Prime Factorization of 91700

Prime factors of 91700 are 2, 5, 7, 131. Prime factorization of 91700 in exponential form is:

91700 = 2² × 5² × 7¹ × 131¹

Step-3: Factors of 91692

List of positive integer factors of 91692 that divides 91692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 283, 324, 566, 849, 1132, 1698, 2547, 3396, 5094, 7641, 10188, 15282, 22923, 30564, 45846

Step-4: Factors of 91700

List of positive integer factors of 91700 that divides 91692 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 131, 140, 175, 262, 350, 524, 655, 700, 917, 1310, 1834, 2620, 3275, 3668, 4585, 6550, 9170, 13100, 18340, 22925, 45850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91692 and 91700. The biggest common factor number is the GCF number.
So the greatest common factor 91692 and 91700 is 4.

Also check out the Least Common Multiple of 91692 and 91700